多样本时间序列的P-T曲线可靠性评估方法

马小兵; 赵宇

多样本时间序列的P-T曲线可靠性评估方法

马小兵,
赵宇

北京航空航天大学可靠性工程研究所, 北京 100083

基金项目: 国家部委重点基金资助(9140A19030106HK0108)

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出版历程
- 收稿日期: 2006-09-10
- 修回日期: 2006-12-08
- 刊出日期: 2007-03-28

Method of reliability evaluation for P-T curve based on multi-sample time series analysis

Institute of Reliability Engineering, Beijing University of Aeronautics and Astronautics, Beijing100083, China

摘要

摘要: 提出一种用于评估固体火箭发动机内弹道压强—时间曲线(P-T曲线)的多样本时间序列方法.该方法可以综合利用单条样本曲线数据内的纵向信息和多条样本曲线数据间的横向信息, 提高固体火箭发动机内弹道性能曲线可靠性评估的精度.具体给出了等间距与非等间距情形下多样本P-T曲线模型参数的极大似然估计方法以及当给定压强满足可靠性要求的上、下限时可靠度的点估计与区间估计计算公式.文中最后给出了一个具体实例.
- 航空、航天推进系统 /
- 多样本时间序列 /
- P-T曲线 /
- 极大似然估计 /
- 可靠性
Abstract: A reliability evaluation method for P-T curve based on multi-sample time series analysis is proposed.The method can synthesize longitudinal and transverse information existing in performance curves,and evaluate the internal ballistic reliability of solid rocket engine with high precision.The maximum likelihood estimations of multi-sample time series with both equally and unequally spaced data are discussed in detail.Furthermore,the formulas of point estimation and confidence interval estimation are introduced when upper and lower limits of P-T curve are assumed.An example is presented.
- aerospace propulsion system /
- multi-sample time series /
- P-T curve /
- maximum likelihood estimation /
- reliability

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参考文献(10)

[1]	Turner M J L.Rocket and spacecraft propulsion:principles,practice,and new development[M].Berlin:Springer,2000.
[2]	甘楚雄,刘冀湘.弹道导弹与运载火箭总体设计[M].北京:国防工业出版社,1996.GAN Chuxiong,LIU Jixiang.The concept design of ballistic missile and carrier rocket[M].Beijing:National Defense Industry Press,1996.
[3]	武晓松,陈军,王栋,等.固体火箭发动机工作过程数值仿真[M].北京:高等教育出版社,2006.WU Xiaosong,CHEN Jun,WANG Dong,et al.Numerical simulations of working progress of solid rocket engine[M].Beijing:Higher Education Press,2006.
[4]	方国尧,张鸿涛.固体火箭发动机系统可靠性分析与设计[M].北京:宇航出版社,1992.FANG Huoyao,ZHANG Hongtao.Reliability analysis and design for solid rocket motor[M].Beijing:Astronautics Publishing House,1992.
[5]	马小兵,傅惠民.非等间距相关系数平稳序列分析方法[J].航空动力学报,2003,18(4):470-476.MA Xiaobing,FU Huimin.Analysis method for correlation coefficient stationary series with unequally spaced data[J].Journal of Aerospace Power,2003,18(4):470-476.
[6]	杨叔子,吴雅.时间序列分析的工程应用[M].武汉:华中理工大学出版社,1991.YANG Shuzi,WU Ya.Time series analysis and it's application[M].Wuhan:Huazhong University of Science and Technology Press,1991.
[7]	MA Xiaobing,FU Huimin.Method of unequally spaced CCAR(2) series with double roots for pressure-time trace analysis[A].Theory and Practice of Energetic Materials Ⅵ:Proceedings of 2005 International Autumn Seminar on Propellants,Explosives and Pyrotechnics[C].Science Press,2005:1085-1090.
[8]	傅惠民.正态分布百分位值和百分率的置信限和容忍限公式[J].航空学报,1994,15(1):94-101.FU Huimin.Formulas for tolerance limits and confidence limits of normal population percentiles and percentages[J].Acta Aeronautica et Astronautica Sinica,1994,15(1):94-101.
[9]	高镇同.疲劳应用统计学[M].北京:国防工业出版社,1986.GAO Zhentong.Fatigue applied statistics[M].Beijing:National Defense Industry Press,1986.
[10]	马小兵,傅惠民.异方差回归-时序模型[J].机械强度,2006,28(1):51-54.MA Xiaobing,FU Huimin.Heteroscedastic model of regression-time series[J].Journal of Mechanical Strength,2006,28(1):51-54.